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A New Proof For The Transformation Laws of Theta Functions

Number Theory 2022-07-27 v1
Authors: Maher Me'meh , Ali Saraeb
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Abstract

We prove the transformation laws of the four Jacobi theta functions using Gordon's proof for the transformation law of the Dedekind eta function.

Keywords

jacobi theta functions transformation laws dedekind eta function gordon's proof

Cite

@article{arxiv.2207.12806,
  title  = {A New Proof For The Transformation Laws of Theta Functions},
  author = {Maher Me'meh and Ali Saraeb},
  journal= {arXiv preprint arXiv:2207.12806},
  year   = {2022}
}

Comments

the paper is 12 pages long with no figures or whatsoever

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